Which of the following is a polynomial with roots 2, 3i, and −3i? f(x) = x3 − 2x2 + 6x − 9 f(x) = x3 − 6x2 + 9x − 18 f(x) = x3 − 6x2 + 18x − 2 f(x) = x3 − 2x2 + 9x − 18

Step-by-step explanation:

The roots of the polynomial are .

This implies that are factors of the given polynomial.

The polynomial will have equation;

We expand using difference of two squares on the complex conjugates to get;

.

.

Recall that;

.

Expand using the distributive property to get;

.

We rewrite in standard form to obtain;

b

step-by-step explanation:

the word superfluous means unnecessary

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents